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A statistics assignment focusing on random sampling, simple random samples, observational studies, and experiments. Students are expected to understand concepts such as mean, median, gender gap, association, bias, and variability. Questions involve determining true statements, describing random samples, identifying study designs, and correcting fallacies.
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Due data 10/10/
1. Suppose I chose 10 students at random from the class, ask their age and record this an integer( discrete variable). Which of the following must be true? A. The mean must be an integer since the data is. B. The median must be an integer since the data is. C. The sample must be random since I chose the students are random. D. All of the above must be true. E. None of the above have to be true. 2. Which of the following best describes a simple random sample of size n? A. All n observations have different values B. All possible samples of size n are just as likely C. All possible values of the population are just as likely D. All n observations have the same value E. Random implies it cannot be determined 3. There may be a “gender gap” in political party preference in the U.S., with women more likely than men to prefer Democratic candidates. A political scientist selects a large sample of registered voters, both men and women. She asks every voter whether they voted for the Democratic or the Republican candidate in the last congressional election. Is this an observational study or an experiment? Why? What are the explanatory and response variables? 4. The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Records of over 850,000 operations performed in 34 major hospitals showed the following death rates for four common anesthetics. Anesthetic A B C D Death rate 1.7% 1.7% 3.4% 1.9% There is a clear association between the anesthetic used and the death rate of patients. Anesthetic C appears dangerous. 4a. Is this an observational study or an experiment? 4b. Is this sufficient evidence to say Anesthetic C causes more deaths? Why or why not?
5. A researcher wants to try out a new drug. She takes a simple random sample of 50 people then assign 25 to the treatment group and 25 to the control group. This is an example of A. Cluster sample B. Multistage sample C. Simple random sample D. A stratified random sample E. A comparative experiment 6. Suppose you take a sample and decide that you want to reduce variability. How can you accomplish this? A. Increase sample size B. Decrease sample size C. Increase population size D. Decrease population size E. Increase both population and sample size 7. Identify the fallacies in each of the following situations and make suitable corrections, i.e, write the correct scenarios 7a. A statistic will have a large amount of bias whenever it has high variability. 7b. The variability of a statistic based on a small sample from a population will be the same as the variability of a large sample from the same population. Text book questions: 3.18, 3.25, 3.28, 3.